9784509696 has 504 divisors, whose sum is σ = 32684765960. Its totient is φ = 2902376448.

The previous prime is 9784509689. The next prime is 9784509701. The reversal of 9784509696 is 6969054879.

It is a happy number.

9784509696 is a `hidden beast` number, since 9 + 7 + 8 + 450 + 96 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2468102400 + 7316407296 = 49680^2 + 85536^2 .

It is a super-2 number, since 2×9784509696² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 89766090 + ... + 89766198.

Almost surely, 2^9784509696 is an apocalyptic number.

9784509696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9784509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342382980).

9784509696 is an abundant number, since it is smaller than the sum of its proper divisors (22900256264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9784509696 is a wasteful number, since it uses less digits than its factorization.

9784509696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The square root of 9784509696 is about 98916.6805751184. The cubic root of 9784509696 is about 2138.8468542063.

The spelling of 9784509696 in words is "nine billion, seven hundred eighty-four million, five hundred nine thousand, six hundred ninety-six".